# The Quest To Learn The Universal Arithmetic

**INTRODUCTION**

PART 1 – From Sets to Functions | |

Section 1: Sets and Interval Notation Section 2: Compound Inequalities and Absolute Value Equations Section 3: The Rectangular Coordinate System and Functions Section 4: Linear Functions Section 5: Slope of a Line |
1 15 24 41 59 |

PART 2 – From Equations of Lines to Systems of Equations | |

Section 1: Equations of Lines Section 2: Inequalities in Two Variables Section 3: Solving Systems of Linear Equations Section 4: Solving Systems of Equations by the Addition Method Section 5: Application Problems Using Systems of Equations |
77 94 110 128 138 |

PART 3 – From Systems of Linear Inequalities to Factoring | |

Section 1: Systems of Linear Inequalities Section 2: Division of Polynomials Section 3: Factoring by Trial and Error Section 4: Special Factors Section 5: Solving Equations Using the Zero Factor Property |
151 166 174 183 198 |

PART 4 – From Rational Expressions to Rational Equations | |

Section 1: Rational Expressions – Simplifying,
Multiplying, and Dividing Section 2: Rational Expressions – The LCM, Adding, and Subtracting Section 3: Complex Fractions, Ratios, and Proportions Section 4: Rational Equations |
208 218 228 238 |

PART 5 – From Rational Exponents to Complex Numbers | |

Section 1: Rational Exponents and Radical
Expressions Section 2: Operations on Radicals Section 3: Complex Numbers Section 4: Solving Quadratic Equations Using Square Roots |
253 268 283 295 |